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Recursive Paintboxes and the Martin Boundary of the Hoffman Rooted-Tree Graph

Zhang, Shengjun
arXiv (All) · Papers
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60c05combinatoricsprobability
We determine the Doob-Martin boundary of Hoffman's leaf-grafting graph on finite unlabelled non-plane rooted trees. Its full and minimal boundaries coincide and are parametrized by deterministic recursive paintboxes, identified when their finite sampling laws agree. Every central measure is a unique
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